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Finding the Third Proportional to 481,453.88 and 745,110.56

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Solution

The third proportional to 481,453.88 and 745,110.56 is: 1,153,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,453.88 : 745,110.56 = 745,110.56 : x
  2. Step 2: Convert to fraction form
    481,453.88/745,110.56 = 745,110.56/x
  3. Step 3: Cross multiply
    481,453.88x = 745,110.56 × 745,110.56
  4. Step 4: Simplify right side
    481,453.88x = 555,189,750,349.07
  5. Step 5: Solve for x
    x = 555,189,750,349.07/481,453.88
  6. Step 6: Final answer
    x = 1,153,152.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.